Product may refer to:
Business
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Product (business), an item that serves as a solution to a specific consumer problem.
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Product (project management), a deliverable or set of deliverables that contribute to a business solution
Mathematics
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Product (mathematics)
Algebra
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Direct product
In mathematics, one can often define a direct product of objects already known, giving a new one. This generalizes the Cartesian product of the underlying sets, together with a suitably defined structure on the product set. More abstractly, one ta ...
Set theory
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Cartesian product
In mathematics, specifically set theory, the Cartesian product of two sets ''A'' and ''B'', denoted ''A''×''B'', is the set of all ordered pairs where ''a'' is in ''A'' and ''b'' is in ''B''. In terms of set-builder notation, that is
: A\ti ...
of sets
Group theory
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Direct product of groups
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Semidirect product
In mathematics, specifically in group theory, the concept of a semidirect product is a generalization of a direct product. There are two closely related concepts of semidirect product:
* an ''inner'' semidirect product is a particular way in w ...
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Product of group subsets In mathematics, one can define a product of group subsets in a natural way. If ''S'' and ''T'' are subsets of a group ''G'', then their product is the subset of ''G'' defined by
:ST = \.
The subsets ''S'' and ''T'' need not be subgroups for this pro ...
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Wreath product
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Free product
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Zappa–Szép product (or knit product), a generalization of the direct and semidirect products
Ring theory
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Product of rings
* Ideal operations, for product of
ideals
Ideal may refer to:
Philosophy
* Ideal (ethics), values that one actively pursues as goals
* Platonic ideal, a philosophical idea of trueness of form, associated with Plato
Mathematics
* Ideal (ring theory), special subsets of a ring considered ...
Linear algebra
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Scalar multiplication
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Matrix multiplication
* Inner product, on an
inner product space
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Exterior product or wedge product
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Multiplication of vectors:
**
Dot product
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Cross product
In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional oriented Euclidean vector space (named here E), and is ...
**
Seven-dimensional cross product
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Triple product, in vector calculus
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Tensor product
Topology
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Product topology
Algebraic topology
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Cap product
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Cup product
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Slant product
Homotopy theory
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Smash product
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Wedge sum (or wedge product)
Category theory
* Internal product, in a
monoidal category
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Product (category theory), a generalization of mathematical products
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Fibre product or pullback
** Coproduct or
pushout
Probability theory
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Wick product of random variables
Graph theory
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Graph product
Music
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''Product'' (Brand X album), 1979
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''Product'' (De Press album), 1982
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''Product'' (Sophie album), 2015
* ''Product'', a three-CD compilation set by
Buzzcocks
Buzzcocks are an English punk rock band formed in Bolton, England in 1976 by singer-songwriter-guitarist Pete Shelley and singer-songwriter Howard Devoto. They are regarded as a seminal influence on the Manchester music scene, the independen ...
Other uses
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Product (chemistry)
Products are the species formed from chemical reactions. During a chemical reaction, reactants are transformed into products after passing through a high energy transition state. This process results in the consumption of the reactants. It can be a ...
, the species formed from chemical reactions
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Hairstyling product, such as hairspray or hair gel, generally referred to as simply "product"
See also
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Production (disambiguation)
Production may refer to:
Economics and business
* Production (economics)
* Production, the act of manufacturing goods
* Production, in the outline of industrial organization, the act of making products (goods and services)
* Production as a stati ...
{{disambiguation